Observational evidences of late-time acceleration opened new windows in modern cosmology due to many attempts proposed to explain it. The phenomenon is generically dubbed Dark Energy (DE) but the possibility to reconstruct a coherent and self-consistent cosmic history, working at any epoch, is far to be easily achieved. Cosmological constant \(\Lambda \)  is the straightforward explanation which should work at early (inflation) and late (dark energy) epoch. The approach navigates us to the \(\Lambda \) CDM model that claims the universe is formed by \(\sim 72\%\)  DE, \(\sim 24\%\)  Dark Matter (DM), and \(\sim 4\%\)  visible matter, requiring an early inflationary epoch capable of solving the shortcomings of Cosmological Standard Model based on General Relativity, Big Bang Nucleosynthesis and Standard Model of Particle. Despite the successes of this coarse grained model, it suffers from a vital ambiguity that is related to the existence of a big difference between the value of \(\Lambda \)  predicted by any quantum gravity theory and the present observational value. Furthermore, there are no final experimental evidence of new particles capable of explaining DM and DE at fundamental level. In this situation, considering the gravitational counterpart can be a reasonable way out to cure shortcomings and address phenomenology. In this perspective, extensions and modifications of GR seem viable approaches both at early and late epochs. See for example [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}.
